Question

Using Pythagorean Theorem solve , a= x+2, b= x. and c= 10.

Answer 1

x = 6, x = -8

Explanation:

Since the Pythagorean Theorem is L^2 + L^2 = H^2, all we have to do is substitute each variable and its equation for our L's.

(x + 2)^2 + (x)^2 = 100

2x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

Using quadratics, sorry, there was no other way, we get:

x = 6 or x = -8.

Check:

6 + 2 = 8^2 = 64

6^2 = 36

64 + 36 = 100 = 10.

-8 works as well.

Therefore, x = 6, x = -8 are correct.

Answer 2

Answer: a= -6 or 8

b=6 or -8

Explanation:

From the result in the diagram

X=6 or -8

Remember

A=x+2

Substitute for x=6

A=6+2=8 or

A= -8+2= -6

So how answer for

A= -6 or 8

B=6 or -8